A method of wrapping optical fiber around a fluid conduit. The optical fiber is wrapped at least partially around the conduit. The optical fiber is secured relative to the conduit at one or more securing locations, thereby defining a sequence of multiple optical fiber portions. Each optical fiber portion comprises a portion of the optical fiber. Each securing location delimits a given optical fiber portion from the subsequent optical fiber portion in the sequence of optical fiber portions. A direction of wrapping of each consecutive optical fiber portion in the sequence of optical fiber portions may be alternated between a clockwise direction and a counter-clockwise direction.